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Finding the Third Proportional to 63,171 and 138,211

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Solution

The third proportional to 63,171 and 138,211 is: 302,390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,171 : 138,211 = 138,211 : x
  2. Step 2: Convert to fraction form
    63,171/138,211 = 138,211/x
  3. Step 3: Cross multiply
    63,171x = 138,211 × 138,211
  4. Step 4: Simplify right side
    63,171x = 19,102,280,521
  5. Step 5: Solve for x
    x = 19,102,280,521/63,171
  6. Step 6: Final answer
    x = 302,390.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.